abcd is a parallelogram find the following

No, all the angles of a parallelogram are not equal. Are all the Angles of a Parallelogram Equal? For example, in a parallelogram ABCD, sum of ∠A + ∠B + ∠C + ∠D = 360°. Yes, all the four interior angles of a parallelogram sum up to 360°. Do Angles in a Parallelogram Sum Up to 360°? All three figures fulfill the properties of a parallelogram because they are four-sided and they have 2 pairs of sides that are parallel and equal. The three special parallelograms are rectangle, square, and rhombus. What are the Three Special Parallelograms? Apart from this, all the angles of a rectangle are congruent and it has equal diagonals that bisect each other. Yes, a rectangle is a parallelogram in which the opposite sides are parallel and equal. Hence, it is a quadrilateral but not a parallelogram. Also, a trapezoid doesn't have opposite sides equal to each other. A trapezoid has only one pair of opposite sides parallel to each other. No, a trapezoid is not a parallelogram, since all opposite sides of the trapezoid are not parallel to each other. Apart from this, all the sides of a rhombus are equal and the diagonals bisect each other at right angles. Yes, a rhombus is a parallelogram in which the opposite sides are parallel and the opposite angles are congruent. The formula for the area of a parallelogram is: Area = b × h where 'b' is the length of the base of the parallelogram, and 'h' is the height of the parallelogram. The area of a parallelogram is the region covered by its boundary. The perimeter of a parallelogram is the sum of the length of all its sides and it is calculated with the help of the formula: Perimeter = 2(a + b) where 'a' and 'b' are the two sides of the parallelogram. What is the Perimeter of Parallelogram?Ī parallelogram is a special kind of quadrilateral in which the opposite sides are parallel and equal. For a quadrilateral to be a parallelogram, all the opposite sides must be parallel and equal to each other. For example, a trapezoid is a quadrilateral, but not a parallelogram. What is the Difference Between a Parallelogram and a Quadrilateral?Īll parallelograms are quadrilaterals but all quadrilaterals are not necessarily parallelograms. A few examples of a parallelogram are rhombus, rectangle, and square. In a parallelogram, the opposite sides are parallel and equal in length. Thus, the perimeter (P) of a parallelogram with sides is, P = 2 (a + b)Ĭheck out the following articles related to parallelograms.įAQs on Parallelogram What is a Parallelogram Shape in Geometry?Ī parallelogram is a quadrilateral which is made up of 2 pairs of parallel sides. The perimeter of a parallelogram is the total length of its boundary and hence it is equal to the sum of all its sides. The area of the parallelogram is calculated with the help of the formula: Area of Parallelogram = Base (b) × Height (h) Perimeter of Parallelogram Observe the following parallelogram which shows the base and the height.Ĭonsider the parallelogram PQRS with base ( b) and height ( h). It can be calculated if we know the length of the base and the height of the parallelogram and it is measured in square units like cm 2, m 2, and inch 2. The area of a parallelogram is the space enclosed between the four sides of a parallelogram. Let us discuss these two formulas of a parallelogram in this section. Here, EG⊥HFĮvery two-dimensional figure has two basic formulas area as well as the perimeter. Diagonals that are perpendicular to each other.Observe the rhombus EFGH to relate it with the following properties. Here, AC⊥BDĪ rhombus is a parallelogram with four equal sides in which the opposite angles are equal. Observe the square ABCD to relate it with the following properties.

Here, AB = DC and AD = BCĪ square is a parallelogram with four equal sides and four right angles. Observe the rectangle ABCD to relate it with the following properties. RectangleĪ rectangle is a parallelogram with two pairs of equal and parallel opposite sides and four right angles. Let us study these parallelograms in detail. It is mainly divided into three special types: A parallelogram can be divided into various types depending upon the different properties.

Abcd is a parallelogram find the following